Information on Result #1751624
Digital (126, 139, 1677720)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2139, 1677720, F2, 5, 13) (dual of [(1677720, 5), 8388461, 14]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (127, 140, 1677720)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (128, 141, 1677720)-net over F2 | [i] | ||
| 3 | Digital (129, 142, 1677720)-net over F2 | [i] | ||
| 4 | Digital (130, 143, 1677720)-net over F2 | [i] | ||